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1003040210120 = 235136413009241
BaseRepresentation
bin11101001100010011101…
…10101111110011001000
310112220000121010002201212
432212021312233303020
5112413211243210440
62044442412432252
7132316162053254
oct16461166576310
93486017102655
101003040210120
1135742905a843
12142490178688
13737810bb440
1436794119264
151b1585ee465
hexe989dafcc8

1003040210120 has 64 divisors (see below), whose sum is σ = 2434236038640. Its totient is φ = 369775411200.

The previous prime is 1003040210119. The next prime is 1003040210189. The reversal of 1003040210120 is 210120403001.

It can be written as a sum of positive squares in 8 ways, for example, as 670685654116 + 332354556004 = 818954^2 + 576502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003040210095 and 1003040210104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171301 + ... + 1837940.

Almost surely, 21003040210120 is an apocalyptic number.

1003040210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003040210120 is an abundant number, since it is smaller than the sum of its proper divisors (1431195828520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003040210120 is a wasteful number, since it uses less digits than its factorization.

1003040210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009906 (or 3009902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1003040210120 its reverse (210120403001), we get a palindrome (1213160613121).

The spelling of 1003040210120 in words is "one trillion, three billion, forty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 641 1282 2564 3205 5128 6410 8333 12820 16666 25640 33332 41665 66664 83330 166660 333320 3009241 6018482 12036964 15046205 24073928 30092410 39120133 60184820 78240266 120369640 156480532 195600665 312961064 391201330 782402660 1564805320 1928923481 3857846962 7715693924 9644617405 15431387848 19289234810 25076005253 38578469620 50152010506 77156939240 100304021012 125380026265 200608042024 250760052530 501520105060 1003040210120